| JAN 15 |
|
1.1 & 1.2 Heat in a One-Dimensional Rod |
| JAN 17 |
|
1.3 Boundary Conditions; 1.4 Equilibrium
Temperature Distribution |
| JAN 22 |
|
1.5 Derivation of the Heat Equation; 2.1
Separation of Variables |
| JAN 24 |
|
2.2 Linearity; 2.3 Heat Equation, Zero
Temperatures
|
| JAN 29 |
|
2.3 cont. |
| JAN 31 |
|
2.4 Examples with the Heat Equation |
| FEB 5 |
|
2.5 Laplace's Equation |
| FEB 7 |
|
3.1, 3.2 Convergence Theorems |
| FEB 12 |
|
3.3 Fourier Cosine and Sine Series |
| FEB 14 |
|
Exam 1 |
| FEB 19 |
|
3.4 Differentiation of Fourier Series |
| FEB 21 |
|
3.5 Integration; 4.1 & 4.2 Vertically Vibrating String |
| FEB 26 |
|
4.3 Boundary Conditions on a String; 4.4
Vibrating String with Fixed Ends |
| FEB 28 |
|
4.4 Vibrating Membrane; 5.1 Sturm Liouville
Problems |
| MAR 4 |
|
5.2 Heat Flow Examples; 5.3 Eigenvalue Problems |
| MAR 6 |
|
5.4 Nonuniform Rod; 5.5 Self-Adjoint Operators |
| MAR 11 |
|
5.6 Rayleigh Quotient; 5.6 Nonuniform String |
| MAR 13 |
|
5.7 Boundary Conditions of the Third Kind |
| MAR 18 |
|
5.9 Asymptotic Behavior; 6.1 Finite Differences |
| MAR 20 |
|
Exam 2 |
| MAR 23-30 |
|
Spring Vacation |
| APR 1 |
|
6.2 Truncated Taylor Series; 6.3 Partial
Differences |
| APR 3 |
|
6.3 Fourier-von Neumann, Nonhomogeneity |
| APR 8 |
|
6.4 2D Heat Equation; 6.5 Wave Equation |
| APR 10 |
|
6.6 Finite Differences & Laplace's Equation; 6.7
Finite Element Method |
| APR 15 |
|
7.1 & 7.2 Separation of Variables in 3D |
| APR 17 |
|
7.3 Vibrating Rectangular Membrane; 7.4 Eigenvalue
Theorems |
| APR 22 |
|
7.5 Multidimensions; 7.6 Rayleigh Quotient in 3D |
| APR 24 |
|
7.7 Vibrating Circular Membrane |
| APR 29 |
|
7.8 Bessel Functions; 7.9 Circular Cylinders |
| MAY 1 |
|
7.10 Spherical Problems, Legendre Polynomials |
| MAY 8 |
|
Final Exam, Thursday, 10:15 - 12:15 AM |